Vector Algebra

Concept: The magnitude of the cross product of two vectors is: where is the angle between the vectors. Step 1: Substitute given values.

Step 2: Simplify.
Divide both sides by 7:
Step 3: Find .

Step 4: Check validity.
Since both sine and cosine are positive, the angle is acute.

Step 5: Interpret geometrically.
Given values suggest: which occurs when . Thus, the intended exact angle is: Conclusion:
The angle between the vectors is: